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Finding the Fourth Proportional to 3,671.46, 5,505.37 and 1,172.33

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Solution

The fourth proportional to 3,671.46, 5,505.37 and 1,172.33 is: 1,757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.46 : 5,505.37 = 1,172.33 : x
  2. Step 2: Convert to fraction form
    3,671.46/5,505.37 = 1,172.33/x
  3. Step 3: Cross multiply
    3,671.46x = 5,505.37 × 1,172.33
  4. Step 4: Simplify right side
    3,671.46x = 6,454,085.12
  5. Step 5: Solve for x
    x = 6,454,085.12/3,671.46
  6. Step 6: Final answer
    x = 1,757.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.